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Finding the Fourth Proportional to 18,164.25, 27,235.17 and 6,312.90

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Solution

The fourth proportional to 18,164.25, 27,235.17 and 6,312.90 is: 9,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.25 : 27,235.17 = 6,312.90 : x
  2. Step 2: Convert to fraction form
    18,164.25/27,235.17 = 6,312.90/x
  3. Step 3: Cross multiply
    18,164.25x = 27,235.17 × 6,312.90
  4. Step 4: Simplify right side
    18,164.25x = 171,933,006.82
  5. Step 5: Solve for x
    x = 171,933,006.82/18,164.25
  6. Step 6: Final answer
    x = 9,465.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.